Question #2
Reading: Reading 23 Residual Income Valuation
PDF File: Reading 23 Residual Income Valuation.pdf
Page: 1
Status: Correct
Correct Answer: A
Question
Economic value added (EVA®) is calculated as net operating profit after taxes minus:
Answer Choices:
A. a charge for total capital
B. capital expenditures
C. a charge for equity capital. You are the chairperson of the board of Retty Inc. You are reviewing the statistics on management performance over the past three years. The accounts of the firm are summarized below: Exhibit 1: Income Statement 20x4 $m 20x5 $m 20x6 $m Sales 40.2 42.3 43.9 Cost of goods sold (11.6) (12.3) (12.8) (11.6) (12.3) (12.8) Gross profit 28.6 30.0 31.1
Explanation
EVA = NOPAT – (C% × TC), where NOPAT is a firm's net operating profit after taxes, C% is
the cost of capital, and TC is total capital.
(Module 23.1, LOS 23.a)
You are the chairperson of the board of Retty Inc. You are reviewing the statistics on management
performance over the past three years.
The accounts of the firm are summarized below:
Exhibit 1: Income Statement
20x4
$m
20x5
$m
20x6
$m
Sales
40.2
42.3
43.9
Cost of goods sold (11.6) (12.3) (12.8) (11.6) (12.3) (12.8)
Gross profit
28.6
30.0
31.1
Administrative expenses
(10.0) (10.0)
(3.0)
Earnings before interest and tax
18.6
20.0
28.1
Interest
(6.3)
(6.3)
(4.2)
Earnings before tax
12.3
13.7
23.9
Tax
(5.1)
(5.6)
(11.4)
Net income
7.2
8.1
12.5
Dividends
(3.0)
(3.1)
(3.2)
Retained income
4.2
5.0
9.3
Exhibit 2: Balance Sheet at 31 December
20x3
$m
20x4
$m
20x5
$m
20x6
$m
Total assets
100.0 104.2 109.2 110.5
Liabilities
24.0
24.0
24.0
16.0
Common stock
20.0
20.0
20.0
20.0
Additional paid up capital
10.0
10.0
10.0
10.0
Retained income
46.0
50.2
55.2
64.5
100.0 104.2 109.2 110.5
Market value of equity (31 December)
167
203
199
145
Beta of firm = 1
Debt holders' required rate of return: 5%
Equity holders' required rate of return: 15%
After tax WACC: 12.5%
Tax rate: 45%
Notes:
1. Administrative expenses include goodwill write downs of $7m in 20x4 and 20x5—goodwill is fully
written off by the end of 20x5
2. $8m of debt was redeemed at the start of 20x6
3. Other than the debt redeemed in 20x6, the liabilities consist mostly of long-term debt valued
approximately at book value
4. Replacement value of assets is roughly equal to book value minus 4%